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Penetration of Electric Field into Hollow Dielectric Bodies

机译:电场渗透到空心介电体中

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Determination of electric field distribution inside dielectric bodies mostly requires solving the Laplace's equation. In many cases physical systems are so complex that analytical solutions are difficult or even impossible to obtain, as is mentioned in [1]. Nowadays, using computer, it is possible to exploit simple numerical approximation methods and in a few minutes to solve complex field problems. A widely used method for numerical electrostatic problems solving is the Charge simulation method (CSM), described in [2]. Basic idea of this method is replacing the existing system by fictitious charges (FCs) chosen in certain way and placing them inside the respective system volumes. Unknown quantities are the charges values and their coordinates. The question remains how to form system of equations and to find these values? Several possibilities exist. One of the simplest options is to use the point matching method as shown in this paper. Other options exist, such as least - square method, variation method or boundary conditions method.
机译:确定介电体内的电场分布主要需要求解拉普拉斯方程。如[1]中所述,在许多情况下,物理系统是如此复​​杂,以至于很难甚至无法获得分析解决方案。如今,使用计算机,有可能利用简单的数值逼近方法并在几分钟内解决复杂的现场问题。解决数值静电问题的一种广泛使用的方法是电荷模拟方法(CSM),在[2]中进行了描述。此方法的基本思想是用以某种方式选择的虚拟费用(FC)替换现有系统,并将它们放置在相应的系统卷内。未知数量是费用值及其坐标。问题仍然是如何形成方程组并找到这些值?存在几种可能性。最简单的选择之一是使用如本文所示的点匹配方法。存在其他选项,例如最小二乘法,变分方法或边界条件方法。

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